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Finding the Fourth Proportional to 869.91, 1,304.99 and 253.62

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Solution

The fourth proportional to 869.91, 1,304.99 and 253.62 is: 380.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    869.91 : 1,304.99 = 253.62 : x
  2. Step 2: Convert to fraction form
    869.91/1,304.99 = 253.62/x
  3. Step 3: Cross multiply
    869.91x = 1,304.99 × 253.62
  4. Step 4: Simplify right side
    869.91x = 330,971.56
  5. Step 5: Solve for x
    x = 330,971.56/869.91
  6. Step 6: Final answer
    x = 380.47

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.